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Simplifying -5 + -4a + -7a = -3(7 + 6a) + 5(5 + 2a) Combine like terms: -4a + -7a = -11a -5 + -11a = -3(7 + 6a) + 5(5 + 2a) -5 + -11a = (7 * -3 + 6a * -3) + 5(5 + 2a) -5 + -11a = (-21 + -18a) + 5(5 + 2a) -5 + -11a = -21 + -18a + (5 * 5 + 2a * 5) -5 + -11a = -21 + -18a + (25 + 10a) Reorder the terms: -5 + -11a = -21 + 25 + -18a + 10a Combine like terms: -21 + 25 = 4 -5 + -11a = 4 + -18a + 10a Combine like terms: -18a + 10a = -8a -5 + -11a = 4 + -8a Solving -5 + -11a = 4 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -5 + -11a + 8a = 4 + -8a + 8a Combine like terms: -11a + 8a = -3a -5 + -3a = 4 + -8a + 8a Combine like terms: -8a + 8a = 0 -5 + -3a = 4 + 0 -5 + -3a = 4 Add '5' to each side of the equation. -5 + 5 + -3a = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -3a = 4 + 5 -3a = 4 + 5 Combine like terms: 4 + 5 = 9 -3a = 9 Divide each side by '-3'. a = -3 Simplifying a = -3
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